{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:SGFIKOZ4GAYLJU7NGSWGJ4OG6O","short_pith_number":"pith:SGFIKOZ4","canonical_record":{"source":{"id":"0901.4748","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-29T19:50:53Z","cross_cats_sorted":[],"title_canon_sha256":"3877479d5ab5537771c99634252328071003b49bca2bdafe65833b384597c65f","abstract_canon_sha256":"d7c017a9bc9bc735311b4c7f9e2e125b85f5b36e7714878b87b7a54e257386ba"},"schema_version":"1.0"},"canonical_sha256":"918a853b3c3030b4d3ed34ac64f1c6f399a22502d4c29037a461b92631e90629","source":{"kind":"arxiv","id":"0901.4748","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4748","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4748v2","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4748","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"SGFIKOZ4GAYL","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SGFIKOZ4GAYLJU7N","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SGFIKOZ4","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:SGFIKOZ4GAYLJU7NGSWGJ4OG6O","target":"record","payload":{"canonical_record":{"source":{"id":"0901.4748","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-29T19:50:53Z","cross_cats_sorted":[],"title_canon_sha256":"3877479d5ab5537771c99634252328071003b49bca2bdafe65833b384597c65f","abstract_canon_sha256":"d7c017a9bc9bc735311b4c7f9e2e125b85f5b36e7714878b87b7a54e257386ba"},"schema_version":"1.0"},"canonical_sha256":"918a853b3c3030b4d3ed34ac64f1c6f399a22502d4c29037a461b92631e90629","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:13.180973Z","signature_b64":"jvaDFdPZdYMp4GTN6Ui2UTPFlFPyxli9DMKZ83c4702nLgE6Zk5uP1G6rk4xihzJpaAzrCDcHkaY3A76pYr5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"918a853b3c3030b4d3ed34ac64f1c6f399a22502d4c29037a461b92631e90629","last_reissued_at":"2026-05-18T04:18:13.180240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:13.180240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.4748","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"McbCmJnrD+oU0s++LbqLI2qrmC6nh/TUTAJfPwtX979khxyktv4y+loF5kPMWXtgovrowcZE7A+2YW9p+KKEDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:32:04.932389Z"},"content_sha256":"60cff11709b47794e6ed5f802d845f82ae148c6808f4fc354d51fff270b07b0d","schema_version":"1.0","event_id":"sha256:60cff11709b47794e6ed5f802d845f82ae148c6808f4fc354d51fff270b07b0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:SGFIKOZ4GAYLJU7NGSWGJ4OG6O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum integrability and supersymmetric vacua","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Nikita A. Nekrasov, Samson L. Shatashvili","submitted_at":"2009-01-29T19:50:53Z","abstract_excerpt":"This is an announcement of some of the results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one correspondence with the eigenstates of integrable spin chain Hamiltonians. The correspondence between the Heisenberg spin chain and the two dimensional U(N) theory with fundamental hypermultiplets is reviewed in detail. We demonstrate the isomorphism of the equivariant quantum cohomology of the cotangent bundle to the Grassmanian manifold Gr(N,L) and the ring of quantum integrals of motion of the length L SU(2) XXX "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4748","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"76bs2RIJG15Uq41B8Vr1RqQnL20Kn53tSsXAQhVH7S5ENEWDog/VoqdrQV9g7dKBfQDY/b/px2xjEHvNuCNUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:32:04.932768Z"},"content_sha256":"cc5cb2013845c35a9e9a9c4af6b1521badb17e1b7b5df3c4cbbfc43879214e37","schema_version":"1.0","event_id":"sha256:cc5cb2013845c35a9e9a9c4af6b1521badb17e1b7b5df3c4cbbfc43879214e37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SGFIKOZ4GAYLJU7NGSWGJ4OG6O/bundle.json","state_url":"https://pith.science/pith/SGFIKOZ4GAYLJU7NGSWGJ4OG6O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SGFIKOZ4GAYLJU7NGSWGJ4OG6O/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T03:32:04Z","links":{"resolver":"https://pith.science/pith/SGFIKOZ4GAYLJU7NGSWGJ4OG6O","bundle":"https://pith.science/pith/SGFIKOZ4GAYLJU7NGSWGJ4OG6O/bundle.json","state":"https://pith.science/pith/SGFIKOZ4GAYLJU7NGSWGJ4OG6O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SGFIKOZ4GAYLJU7NGSWGJ4OG6O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:SGFIKOZ4GAYLJU7NGSWGJ4OG6O","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d7c017a9bc9bc735311b4c7f9e2e125b85f5b36e7714878b87b7a54e257386ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-29T19:50:53Z","title_canon_sha256":"3877479d5ab5537771c99634252328071003b49bca2bdafe65833b384597c65f"},"schema_version":"1.0","source":{"id":"0901.4748","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4748","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4748v2","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4748","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"SGFIKOZ4GAYL","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SGFIKOZ4GAYLJU7N","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SGFIKOZ4","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:cc5cb2013845c35a9e9a9c4af6b1521badb17e1b7b5df3c4cbbfc43879214e37","target":"graph","created_at":"2026-05-18T04:18:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This is an announcement of some of the results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one correspondence with the eigenstates of integrable spin chain Hamiltonians. The correspondence between the Heisenberg spin chain and the two dimensional U(N) theory with fundamental hypermultiplets is reviewed in detail. We demonstrate the isomorphism of the equivariant quantum cohomology of the cotangent bundle to the Grassmanian manifold Gr(N,L) and the ring of quantum integrals of motion of the length L SU(2) XXX ","authors_text":"Nikita A. Nekrasov, Samson L. Shatashvili","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-29T19:50:53Z","title":"Quantum integrability and supersymmetric vacua"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4748","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:60cff11709b47794e6ed5f802d845f82ae148c6808f4fc354d51fff270b07b0d","target":"record","created_at":"2026-05-18T04:18:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d7c017a9bc9bc735311b4c7f9e2e125b85f5b36e7714878b87b7a54e257386ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-29T19:50:53Z","title_canon_sha256":"3877479d5ab5537771c99634252328071003b49bca2bdafe65833b384597c65f"},"schema_version":"1.0","source":{"id":"0901.4748","kind":"arxiv","version":2}},"canonical_sha256":"918a853b3c3030b4d3ed34ac64f1c6f399a22502d4c29037a461b92631e90629","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"918a853b3c3030b4d3ed34ac64f1c6f399a22502d4c29037a461b92631e90629","first_computed_at":"2026-05-18T04:18:13.180240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:13.180240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jvaDFdPZdYMp4GTN6Ui2UTPFlFPyxli9DMKZ83c4702nLgE6Zk5uP1G6rk4xihzJpaAzrCDcHkaY3A76pYr5BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:13.180973Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.4748","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60cff11709b47794e6ed5f802d845f82ae148c6808f4fc354d51fff270b07b0d","sha256:cc5cb2013845c35a9e9a9c4af6b1521badb17e1b7b5df3c4cbbfc43879214e37"],"state_sha256":"0cc44573bfee57a18307cf96a07ddb529695393d10c7fee4cde627a2f03661ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dWCn4X6ocZ87ji8pqWPHxe06YUFU+ioWPhBq2SL1uHs0Ss+ZUrmVDo4tHfen2N7hJPmqc2b7XKK69EFgA3ZdDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:32:04.934755Z","bundle_sha256":"c85e3c7396f70e0e862981990ecf18a5c89b8639b0ef78bad8821c084faa1eb4"}}